Sinopsis
This book, written by one of the most distinguished of contemporary philosophers of mathematics, is a fully rewritten and updated successor to the author's earlier The Unprovability of Consistency (1979). Its subject is the relation between provability and modal logic, a branch of logic invented by Aristotle but much disparaged by philosophers and virtually ignored by mathematicians. Here it receives its first scientific application since its invention. Modal logic is concerned with the notions of necessity and possibility. What George Boolos does is to show how the concepts, techniques, and methods of modal logic shed brilliant light on the most important logical discovery of the twentieth century: the incompleteness theorems of Kurt Godel and the 'self-referential' sentences constructed in their proof. The book explores the effects of reinterpreting the notions of necessity and possibility to mean provability and consistency.
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Críticas
"The book contains an excellent combination of values: noble subject, fresh key results, and the gentle, friendly style of the author. It can be recommended as a textbook, as a handbook, or simply as high quality reading in logic." Sergei N. Artemov, Journal of Symbolic Logic
"I found it lively, lucid, and informative...Boolos' style of writing is unusually kind to the reader. When an argument becomes tricky, he breaks it down into a lot of small steps, showing the reader in detail just how to proceed. A result is that the book is remarkably easy to read." Vann McGee, Rutgers University
Reseña del editor
This book, written by one of the most distinguished of contemporary philosophers of mathematics, is a fully rewritten and updated successor to the author's earlier The Unprovability of Consistency (1979). Its subject is the relation between provability and modal logic, a branch of logic invented by Aristotle but much disparaged by philosophers and virtually ignored by mathematicians. Here it receives its first scientific application since its invention. Modal logic is concerned with the notions of necessity and possibility. What George Boolos does is to show how the concepts, techniques, and methods of modal logic shed brilliant light on the most important logical discovery of the twentieth century: the incompleteness theorems of Kurt Godel and the 'self-referential' sentences constructed in their proof. The book explores the effects of reinterpreting the notions of necessity and possibility to mean provability and consistency.
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The Logic of Provability
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Cambridge University Press, 1993
ISBN 10: 0521433428
ISBN 13: 9780521433426
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Hardcover. Condición: Good. Estado de la sobrecubierta: No Dust Jacket. 275 pages. Ex-library marks, light wear and fading to the covers; clean text otherwise; a sound binding. No jacket. Quantity Available: 1. Category: Mathematics; ISBN: 0521433428. ISBN/EAN: 9780521433426. Inventory No: 230458. Nº de ref. del artículo: 230458
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The Logic of Provability
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The Logic of Provability
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Cambridge: Cambridge University Press, 1993., 1993
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The Logic of Provability
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The Logic of Provability
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Hardcover. Condición: Very Good. Hardcover. 8vo. Published by Cambridge University Press, Cambridge, UK. 1994. 314 pgs. DJ has light shelf-wear present to the DJ extremities. Bound in cloth boards with titles present to the spine and front board. Boards have light shelf-wear present to the extremities. No ownership marks present. Text is clean and free of marks. Binding tight and solid. This book, written by one of the most distinguished of contemporary philosophers of mathematics, is a fully rewritten and updated successor to the author's earlier The Unprovability of Consistency (1979). Its subject is the relation between provability and modal logic, a branch of logic invented by Aristotle but much disparaged by philosophers and virtually ignored by mathematicians. Here it receives its first scientific application since its invention. ; 8.9 X 6.2 X 0.9 inches; 314 pages. Nº de ref. del artículo: 73453
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The Logic of Provability
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Cambridge University Press, 1994
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ISBN 13: 9780521433426
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Hardcover. Condición: Fair. First Edition. Cambridge University Press; New York, 1993. Hardcover. First Publication. Acceptable to Good, black cloth binding with silver lettering on spine, binding sturdy and intact, trace shelf wear, some discoloration/age spotting to boards, pencil underlining and notes to introduction pages else unmarked, in a Very Good, some handling/scuff marks to panels, tape to verso of tear to bottom spine edge, some sunning along edge, trace edge/corner wear, Dust wrapper. 8vo[octavo or approx. 6 x 9 inches], 276pp., indexed, bibliography. We pack securely and ship daily with delivery confirmation on every book. The picture on the listing page is of the actual book for sale. Additional Scan(s) are available for any item, please inquire.Please note: Oversized books/sets MAY require additional postage then what is quoted for 2.2lb book. Nº de ref. del artículo: SKU1025457
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The Logic of Provability
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Hardcover. Condición: Near fine. Estado de la sobrecubierta: Near fine. xxxvi, 275 p. 24 cm. Black cloth in dustjacket. Ink signature on first leaf. Nº de ref. del artículo: 133771
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